Dynamical complexity and K-theory of Lp operator crossed products

DOI10.1142/S1793525320500314zbMath1480.19003arXiv1611.09000MaRDI QIDQ5163067

Yeong Chyuan Chung

Publication date: 8 November 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09000

zbMATH Keywords

Baum-Connes conjecturedynamical complexityquantitative operator \(K\)-theory\(L^p\) operator crossed product

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Index theory (19K56) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (4)

Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ \(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras ⋮ The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds

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